( 0,3 x ) ^ { 2 } - 2 \cdot 0,3 x \cdot 0,5 a + ( 0,5 a ) ^ { 2 }
Evaluate
\frac{\left(3x-5a\right)^{2}}{100}
Expand
-\frac{3ax}{10}+\frac{9x^{2}}{100}+\frac{a^{2}}{4}
Graph
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0,3^{2}x^{2}-2\times 0,3x\times 0,5a+\left(0,5a\right)^{2}
Expand \left(0,3x\right)^{2}.
0,09x^{2}-2\times 0,3x\times 0,5a+\left(0,5a\right)^{2}
Calculate 0,3 to the power of 2 and get 0,09.
0,09x^{2}-0,6x\times 0,5a+\left(0,5a\right)^{2}
Multiply 2 and 0,3 to get 0,6.
0,09x^{2}-0,3xa+\left(0,5a\right)^{2}
Multiply 0,6 and 0,5 to get 0,3.
0,09x^{2}-0,3xa+0,5^{2}a^{2}
Expand \left(0,5a\right)^{2}.
0,09x^{2}-0,3xa+0,25a^{2}
Calculate 0,5 to the power of 2 and get 0,25.
0,3^{2}x^{2}-2\times 0,3x\times 0,5a+\left(0,5a\right)^{2}
Expand \left(0,3x\right)^{2}.
0,09x^{2}-2\times 0,3x\times 0,5a+\left(0,5a\right)^{2}
Calculate 0,3 to the power of 2 and get 0,09.
0,09x^{2}-0,6x\times 0,5a+\left(0,5a\right)^{2}
Multiply 2 and 0,3 to get 0,6.
0,09x^{2}-0,3xa+\left(0,5a\right)^{2}
Multiply 0,6 and 0,5 to get 0,3.
0,09x^{2}-0,3xa+0,5^{2}a^{2}
Expand \left(0,5a\right)^{2}.
0,09x^{2}-0,3xa+0,25a^{2}
Calculate 0,5 to the power of 2 and get 0,25.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}